Grand Canyon Education, Inc. (NASDAQ:LOPE) Shares Could Be 39% Below Their Intrinsic Value Estimate

Today we will run through one way of estimating the intrinsic value of Grand Canyon Education, Inc. (NASDAQ:LOPE) by taking the expected future cash flows and discounting them to today's value. One way to achieve this is by employing the Discounted Cash Flow (DCF) model. Models like these may appear beyond the comprehension of a lay person, but they're fairly easy to follow.

Remember though, that there are many ways to estimate a company's value, and a DCF is just one method. For those who are keen learners of equity analysis, the Simply Wall St analysis model here may be something of interest to you.

See our latest analysis for Grand Canyon Education

The Model

We use what is known as a 2-stage model, which simply means we have two different periods of growth rates for the company's cash flows. Generally the first stage is higher growth, and the second stage is a lower growth phase. To start off with, we need to estimate the next ten years of cash flows. Where possible we use analyst estimates, but when these aren't available we extrapolate the previous free cash flow (FCF) from the last estimate or reported value. We assume companies with shrinking free cash flow will slow their rate of shrinkage, and that companies with growing free cash flow will see their growth rate slow, over this period. We do this to reflect that growth tends to slow more in the early years than it does in later years.

Generally we assume that a dollar today is more valuable than a dollar in the future, so we need to discount the sum of these future cash flows to arrive at a present value estimate:

10-year free cash flow (FCF) estimate

	2023	2024	2025	2026	2027	2028	2029	2030	2031	2032
Levered FCF ($, Millions)	US$210.8m	US$227.5m	US$240.0m	US$250.6m	US$259.9m	US$268.2m	US$275.8m	US$282.9m	US$289.6m	US$296.2m
Growth Rate Estimate Source	Analyst x1	Analyst x1	Est @ 5.49%	Est @ 4.44%	Est @ 3.70%	Est @ 3.18%	Est @ 2.82%	Est @ 2.57%	Est @ 2.39%	Est @ 2.27%
Present Value ($, Millions) Discounted @ 6.6%	US$198	US$200	US$198	US$194	US$189	US$183	US$177	US$170	US$163	US$157

("Est" = FCF growth rate estimated by Simply Wall St)
Present Value of 10-year Cash Flow (PVCF) = US$1.8b

After calculating the present value of future cash flows in the initial 10-year period, we need to calculate the Terminal Value, which accounts for all future cash flows beyond the first stage. The Gordon Growth formula is used to calculate Terminal Value at a future annual growth rate equal to the 5-year average of the 10-year government bond yield of 2.0%. We discount the terminal cash flows to today's value at a cost of equity of 6.6%.

Terminal Value (TV)= FCF₂₀₃₂ × (1 + g) ÷ (r – g) = US$296m× (1 + 2.0%) ÷ (6.6%– 2.0%) = US$6.6b

Present Value of Terminal Value (PVTV)= TV / (1 + r)¹⁰= US$6.6b÷ ( 1 + 6.6%)¹⁰= US$3.5b

The total value, or equity value, is then the sum of the present value of the future cash flows, which in this case is US$5.3b. To get the intrinsic value per share, we divide this by the total number of shares outstanding. Compared to the current share price of US$105, the company appears quite undervalued at a 39% discount to where the stock price trades currently. Valuations are imprecise instruments though, rather like a telescope - move a few degrees and end up in a different galaxy. Do keep this in mind.

Important Assumptions

The calculation above is very dependent on two assumptions. The first is the discount rate and the other is the cash flows. Part of investing is coming up with your own evaluation of a company's future performance, so try the calculation yourself and check your own assumptions. The DCF also does not consider the possible cyclicality of an industry, or a company's future capital requirements, so it does not give a full picture of a company's potential performance. Given that we are looking at Grand Canyon Education as potential shareholders, the cost of equity is used as the discount rate, rather than the cost of capital (or weighted average cost of capital, WACC) which accounts for debt. In this calculation we've used 6.6%, which is based on a levered beta of 0.825. Beta is a measure of a stock's volatility, compared to the market as a whole. We get our beta from the industry average beta of globally comparable companies, with an imposed limit between 0.8 and 2.0, which is a reasonable range for a stable business.

SWOT Analysis for Grand Canyon Education

Next Steps:

Although the valuation of a company is important, it is only one of many factors that you need to assess for a company. It's not possible to obtain a foolproof valuation with a DCF model. Rather it should be seen as a guide to "what assumptions need to be true for this stock to be under/overvalued?" For instance, if the terminal value growth rate is adjusted slightly, it can dramatically alter the overall result. Can we work out why the company is trading at a discount to intrinsic value? For Grand Canyon Education, we've put together three relevant aspects you should look at:

1. Risks: Case in point, we've spotted 1 warning sign for Grand Canyon Education you should be aware of.
2. Future Earnings: How does LOPE's growth rate compare to its peers and the wider market? Dig deeper into the analyst consensus number for the upcoming years by interacting with our free analyst growth expectation chart.
3. Other High Quality Alternatives: Do you like a good all-rounder? Explore our interactive list of high quality stocks to get an idea of what else is out there you may be missing!

PS. The Simply Wall St app conducts a discounted cash flow valuation for every stock on the NASDAQGS every day. If you want to find the calculation for other stocks just search here.

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This article by Simply Wall St is general in nature. We provide commentary based on historical data and analyst forecasts only using an unbiased methodology and our articles are not intended to be financial advice. It does not constitute a recommendation to buy or sell any stock, and does not take account of your objectives, or your financial situation. We aim to bring you long-term focused analysis driven by fundamental data. Note that our analysis may not factor in the latest price-sensitive company announcements or qualitative material. Simply Wall St has no position in any stocks mentioned.